Exercise 61 Page 27

Begin with the Distributive Property.

- 7m^3-3m^2-m+17

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To simplify the given expression, we will use the Distributive Property to eliminate the second set of parentheses.

( -4m^3-m+10 )-(3m^3+3m^2-7)

RemovePar

Remove parentheses

-4m^3-m+10-(3m^3+3m^2-7)

Distr

Distribute -1

-4m^3-m+10-3m^3-3m^2+7

The next step in simplifying this expression is to identify which, if any, terms can be combined. Remember, only like terms — constant terms or terms with the same variable and the same exponent — can be combined.

-4m^3 - m + 10 - 3m^3- 3m^2 + 7 We found two pairs of like terms.

Two m^3-terms.
Two constant terms.

To simplify the expression we will rearrange it according to the Commutative Property of Addition and then combine like terms.

-4m^3-m+10-3m^3-3m^2+7

CommutativePropAdd

Commutative Property of Addition

-4m^3-3m^3-m+10+7-3m^2

AddSubTerms

Add and subtract terms

-7m^3-m+17-3m^2

CommutativePropAdd

Commutative Property of Addition

-7m^3-3m^2-m+17

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Exercises p.25-27

Exercise 61 Page 27

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